On the Birch-Swinnerton-Dyer conjecture mod \(p\)

DOI10.1016/0022-314X(84)90073-8zbMath0551.14009WikidataQ122971095 ScholiaQ122971095MaRDI QIDQ801126

M. Yu. Rozenblyum, Sergey A. Abramov

Publication date: 1984

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

elliptic curveTate-Shafarevich groupp-adic L-functionp-adic Birch-Swinnerton-Dyer conjecturep-adic Néron-Tate height

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Elliptic curves (14H52) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Local ground fields in algebraic geometry (14G20) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Heights (11G50) Arithmetic ground fields for abelian varieties (14K15) Zeta functions and (L)-functions (11S40)

Cites Work

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• Modular functions of one variable. IV. Proceedings of the international summer school, University of Antwerp, RUCA, July 17 -- August 3, 1972
• Arithmetic of Weil curves
• Hauteurs et fonctions thêta

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